Finding the Third Proportional to 87,654 and 191,984

Step by Step Solution

1. Step 1: Write the proportion equation
   87,654 : 191,984 = 191,984 : x
2. Step 2: Convert to fraction form
   87,654/191,984 = 191,984/x
3. Step 3: Cross multiply
   87,654x = 191,984 × 191,984
4. Step 4: Simplify right side
   87,654x = 36,857,856,256
5. Step 5: Solve for x
   x = 36,857,856,256/87,654
6. Step 6: Final answer
   x = 420,492.58